Application of Compatible Graph and Webster Methods for Traffic Light Arrangement in Jepara

Tri Sri Noor Asih; Siti Nur Hidayati; Mulyono Mulyono; Isnaini Rosyida

doi:10.31764/jtam.v7i4.16242

Application of Compatible Graph and Webster Methods for Traffic Light Arrangement in Jepara

Tri Sri Noor Asih, Siti Nur Hidayati, Mulyono Mulyono, Isnaini Rosyida

Abstract

The problem of congestion has become a common problem that is often found on the highways, especially at the crossroads, without exception in Jepara Regency. The Mayong-Jepara Highway intersection is classified as a busy intersection that is full of vehicles during every departure and return hours, which are dominated by factory employees. Congestion often occurs at these intersections even though there are traffic lights that regulate the movement of vehicles. So, This study aims to find the solutions to congestion problems at Mayong-Jepara Highway intersection through compatible graph modeling and optimizing traffic light cycle time using the Webster method. Compatible graphs are used to determine traffic flows that are worked to move simultaneously without causing collisions, and that are used to carry out the graph weighting to determine the number of phases. The variables used in this applied research are the data on the number of vehicles, road width, and traffic light duration that taken directly in the field. Because the traffic density in the morning and afternoon is different for each intersection arm. Thus, the cycle time is determined in 2 sessions namely the morning and the afternoon. From the modeling of the compatible graph that has been weighted, it is obtained that the morning and afternoon sessions have 3 phases as the total which are then used to determine the traffic light cycle time. As a result, the cycle times for the morning session are 98 seconds, and the afternoon session is 155 seconds. The results were then simulated with PTV Vissim software and assessed to be quite effective in dealing with congestion and heavy traffic at the Mayong-Jepara Highway intersection especially in the afternoon session.

Keywords

Traffic Management; Compatible Graph; Webster Method.

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References

Adeke, P. T., Atoo, A. A., & Zava, A. E. (2018). Traffic Signal Design and Performance Assessment of 4-Leg Intersections Using Webster s Model : A Case of SRS and B-Division Intersections in Makurdi Town. International Research Journal of Engineering and Technology (IRJET), 5(5), 1253–1258.

Ali, M. E. M., Durdu, A., Celtek, S. A., & Yilmaz, A. (2021). An Adaptive Method for Traffic Signal Control Based on Fuzzy Logic With Webster and Modified Webster Formula Using SUMO Traffic Simulator. IEEE Access, 9. https://doi.org/10.1109/ACCESS.2021.3094270

Alkandari, A., Al-Shaikhli, I. F., & Alhaddad, A. (2014). Optimization of Traffic Control Methods Comparing with Dynamic Webster with Dynamic Cycle Time (DWDC) using Simulation Software. International Conference on Natural Computation, 1071–1076. https://doi.org/https://doi.org/10.1109/ICNC.2014.6975989

Baruah, A. K. (2014). Traffic Control Problems using Graph Connectivity. International Journal of Computer Application, 86(11), 1–3. https://doi.org/https://doi.org/10.5120/15026-3342

Elumalai, A. (2020). Graph theory applications in computer science and engineering. 2, 4025–4027.

Gao, J., Dai, & Gan, X. (2018). Traffic Flow and Safety Analysis. Theoretical and Applied Mechanics Letters, 8(5), 301–314. https://doi.org/https://doi.org/10.1016/j.taml.2018.05.005

Isnaeni, I., Rahmah, S., & Agosa, U. (2021). Implementation of Graph Theory on the Setting of the Traffic Light Intersection. ITEJ (Information Technology Engineering Journals), 6(2), 100–112. https://doi.org/10.24235/itej.v6i2.103

Kumar, V. M., & Prasad, M. R. (2020). Comparison of Signal Re-Design for G . Palya and Jakkur Junction by IRC and Webster ’ s Method. International Journal of Research in Engineering, Science, and Management (IJRESM), 3(8), 404–408.

Li, Y., Qin, Z., & Zhu, C. M. (2021). Optimal Design of Transportation Signal Control at the Intersection based on Webster Signal Timing Method. Journal of Physics: Conference Series, 1972(1). https://doi.org/https://doi.org/10.1088/1742-6596/1972/1/012130

Lusiani, A., Sartika, E., Binarto, A., & Habinuddin, E. (2020). Compatible Graphs on Traffic Lights Waiting Time Optimization. International Seminar of Science and Applied Technology (ISSAT 2020), 198(Issat), 467–471. https://doi.org/https://doi.org/10.2991/aer.k.201221.077

Prihantini, Santoso, A. H., & Fajrin, H. R. (2020). Application of Webster’s Method to Optimizing Traffic Lights at the Intersection of Bantul - Nasional III Street, Yogyakarta. 347–352. https://doi.org/10.14421/icse.v3.526

Reddy, B. S., & Reddy, N. V. H. (2016). Signal Design for T-Intersection by using Webster’s Method in Nandyal Town, Kurnool District of Andhra Pradesh. International Research Journal of Engineering and Technology (IRJET), 3(4), 1124–1131.

Sarbaini. (2022). Modeling of Traffic Flow Schemes at Road Intersections in Pekanbaru City Using Compatible Graphs. EduMa: Mathematics Education Learning and Teaching, 11(2), 213–222. https://syekhnurjati.ac.id/jurnal/index.php/eduma/eduma/article/view/10859

Setiawan, E. K., & Budayasa, I. K. (2017). Application of Graph Theory Concept for Traffic Light Control at Crossroad. AIP Conference Proceedings, 1–10. https://doi.org/10.1063/1.4994457

Sikar, R. B., & Aslan, H. (2022). Calculation of the delays of autonomous vehicles at signalized intersections using the Webster method. International Symposium on Innovative Technologies in Engineering and Science, 5(3), 222–232. https://doi.org/10.33793/acperpro.05.03.3561

Singh, A. (2022). Improvement of Siganlized Intersection in Bengaluru using Webster’s Method. International Research Journal of Modernization in Engineering Technology and Science, 4(3), 1604–1610.

Suyudi, M., & Sukono. (2018). Signal Groups of Clique Compatible Graph in Traffic Control Problems. Proceedings of the International Conference on Industrial Engineering and Operations Management, 2938–2945.

Tanveer, S. of G. T. for S. of T. L. (2017). Application of Graph Theory for Scheduling of Traffic Lights. International Jurnal of Mathematics and Computer Applications Research (IJMCAR), 7(5), 21–24. https://doi.org/https://doi.org/10.24247/ijmcaroct20172

Vidhya, K., & Banu, A. B. (2014). Density Based Traffic Signal System. International Journal of Innovative Research in Science, Engineering, and Technology, 3(3), 2218–2223.

Wijaya, D. W. A., Luckyarno, Y. F., Utami, S. S., & Prasetyo, R. (2019). Analysis of Vehicle Waiting Time Efficiency Using Webster Method and Newton ’ s Divided Difference : Case Study at Mirota Kampus Intersection , Yogyakarta , Indonesia. 2019 6th IEEE International Conference on Engineering Technologies and Applied Sciences (ICETAS). https://doi.org/https://doi.org/10.1109/ICETAS48360.2019.9117436

DOI: https://doi.org/10.31764/jtam.v7i4.16242